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$\left(a\right)\frac{1}{{6}^{3}}\phantom{\rule{0ex}{0ex}}\left(b\right)\frac{73}{{6}^{3}}\phantom{\rule{0ex}{0ex}}\left(c\right)\frac{51}{{6}^{3}}\phantom{\rule{0ex}{0ex}}\left(d\right)noneofthese$

(a) Find the probability of the dot being inside the incircle

(b) Find the probability of the dot being outside the incircle.

$\left(a\right)1/25\phantom{\rule{0ex}{0ex}}\left(b\right)25/567\phantom{\rule{0ex}{0ex}}\left(c\right)1/37\phantom{\rule{0ex}{0ex}}\left(d\right)1/74$

$\left(a\right)\frac{1}{n!}\phantom{\rule{0ex}{0ex}}\left(b\right)\frac{1}{{n}^{n}}\phantom{\rule{0ex}{0ex}}\left(c\right)\frac{n!}{{2}^{n}}\phantom{\rule{0ex}{0ex}}\left(d\right)\frac{n!}{{n}^{n}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

^{th}day of a randomly chosen month is a second Saturday, is.$\left(a\right)1/7\phantom{\rule{0ex}{0ex}}\left(b\right)1/12\phantom{\rule{0ex}{0ex}}\left(c\right)1/84\phantom{\rule{0ex}{0ex}}\left(d\right)19/84$

39. Two athletes A and B participate in a race along with other athletes. If the chance of A winning the race is 1/6 and that of B winning the same race is 1/8, then the chance that neither wins the race, is

(a) 1/4 (b) 7/24

(c) 17/24 (d) 35/48

$\left(a\right)3/7\phantom{\rule{0ex}{0ex}}\left(b\right)4/7\phantom{\rule{0ex}{0ex}}\left(c\right)3/4\phantom{\rule{0ex}{0ex}}\left(d\right)37/56$